354402350013504 has 224 divisors, whose sum is σ = 1022204772618624. Its totient is φ = 107709999022080.

The previous prime is 354402350013469. The next prime is 354402350013521. The reversal of 354402350013504 is 405310053204453.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980345424 + ... + 980706864.

It is an arithmetic number, because the mean of its divisors is an integer number (4563414163476).

Almost surely, 2^{354402350013504} 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 354402350013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511102386309312).

354402350013504 is an abundant number, since it is smaller than the sum of its proper divisors (667802422605120).

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

354402350013504 is a wasteful number, since it uses less digits than its factorization.

354402350013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366285 (or 366275 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 354402350013504 in words is "three hundred fifty-four trillion, four hundred two billion, three hundred fifty million, thirteen thousand, five hundred four".