351554064251016 has 256 divisors, whose sum is σ = 993513216487680. Its totient is φ = 102736097280000.

The previous prime is 351554064251011. The next prime is 351554064251041. The reversal of 351554064251016 is 610152460455153.

It is a super-3 number, since 3×351554064251016³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (351554064251011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669884016 + ... + 670408608.

It is an arithmetic number, because the mean of its divisors is an integer number (3880911001905).

Almost surely, 2^{351554064251016} 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 351554064251016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496756608243840).

351554064251016 is an abundant number, since it is smaller than the sum of its proper divisors (641959152236664).

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

351554064251016 is a wasteful number, since it uses less digits than its factorization.

351554064251016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525368 (or 525364 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 351554064251016 in words is "three hundred fifty-one trillion, five hundred fifty-four billion, sixty-four million, two hundred fifty-one thousand, sixteen".