354696693120 has 1280 divisors, whose sum is σ = 1672461457920. Its totient is φ = 69354455040.

The previous prime is 354696693061. The next prime is 354696693199. The reversal of 354696693120 is 21396696453.

354696693120 is a `hidden beast` number, since 3 + 546 + 9 + 6 + 6 + 93 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×354696693120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67855947 + ... + 67861173.

It is an arithmetic number, because the mean of its divisors is an integer number (1306610514).

Almost surely, 2^354696693120 is an apocalyptic number.

354696693120 is a gapful number since it is divisible by the number (30) 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 354696693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836230728960).

354696693120 is an abundant number, since it is smaller than the sum of its proper divisors (1317764764800).

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

354696693120 is a wasteful number, since it uses less digits than its factorization.

354696693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 354696693120 in words is "three hundred fifty-four billion, six hundred ninety-six million, six hundred ninety-three thousand, one hundred twenty".