354400370924544 has 2816 divisors, whose sum is σ = 1333950370283520. Its totient is φ = 90742063104000.

The previous prime is 354400370924543. The next prime is 354400370924563. The reversal of 354400370924544 is 445429073004453.

354400370924544 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 0 + 0 + 3 + 7 + 0 + 92 + 4 + 544 = 666.

It is a super-2 number, since 2×354400370924544² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (354400370924543) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 597639748312 + ... + 597639748904.

It is an arithmetic number, because the mean of its divisors is an integer number (473703966720).

Almost surely, 2^{354400370924544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354400370924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666975185141760).

354400370924544 is an abundant number, since it is smaller than the sum of its proper divisors (979549999358976).

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

354400370924544 is a wasteful number, since it uses less digits than its factorization.

354400370924544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 354400370924544 in words is "three hundred fifty-four trillion, four hundred billion, three hundred seventy million, nine hundred twenty-four thousand, five hundred forty-four".