354081869361792 has 1280 divisors, whose sum is σ = 1314332905374720. Its totient is φ = 92965386977280.

The previous prime is 354081869361791. The next prime is 354081869361799. The reversal of 354081869361792 is 297163968180453.

354081869361792 is a `hidden beast` number, since 3 + 5 + 40 + 81 + 8 + 69 + 361 + 7 + 92 = 666.

It is a super-2 number, since 2×354081869361792² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 354081869361792.

It is not an unprimeable number, because it can be changed into a prime (354081869361791) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9401299953 + ... + 9401337615.

It is an arithmetic number, because the mean of its divisors is an integer number (1026822582324).

It is a 1-persistent number, because it is pandigital, but 2⋅354081869361792 = 708163738723584 is not.

Almost surely, 2^{354081869361792} is an apocalyptic number.

354081869361792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354081869361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657166452687360).

354081869361792 is an abundant number, since it is smaller than the sum of its proper divisors (960251036012928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354081869361792 is a wasteful number, since it uses less digits than its factorization.

354081869361792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38103 (or 38082 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 354081869361792 in words is "three hundred fifty-four trillion, eighty-one billion, eight hundred sixty-nine million, three hundred sixty-one thousand, seven hundred ninety-two".