354551022150304 has 192 divisors, whose sum is σ = 831761370316800. Its totient is φ = 145569278592000.

The previous prime is 354551022150277. The next prime is 354551022150307. The reversal of 354551022150304 is 403051220155453.

It is not an unprimeable number, because it can be changed into a prime (354551022150307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4712292717 + ... + 4712367955.

It is an arithmetic number, because the mean of its divisors is an integer number (4332090470400).

Almost surely, 2^{354551022150304} 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 354551022150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415880685158400).

354551022150304 is an abundant number, since it is smaller than the sum of its proper divisors (477210348166496).

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

354551022150304 is a wasteful number, since it uses less digits than its factorization.

354551022150304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82107 (or 82099 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 354551022150304 in words is "three hundred fifty-four trillion, five hundred fifty-one billion, twenty-two million, one hundred fifty thousand, three hundred four".