351638254944 has 576 divisors, whose sum is σ = 1163433922560. Its totient is φ = 103822663680.

The previous prime is 351638254901. The next prime is 351638254949. The reversal of 351638254944 is 449452836153.

It is a happy number.

351638254944 is a `hidden beast` number, since 3 + 5 + 16 + 3 + 82 + 549 + 4 + 4 = 666.

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 (351638254949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479724402 + ... + 479725134.

It is an arithmetic number, because the mean of its divisors is an integer number (2019850560).

Almost surely, 2^351638254944 is an apocalyptic number.

351638254944 is a gapful number since it is divisible by the number (34) 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 351638254944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581716961280).

351638254944 is an abundant number, since it is smaller than the sum of its proper divisors (811795667616).

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

351638254944 is a wasteful number, since it uses less digits than its factorization.

351638254944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 965 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 351638254944 in words is "three hundred fifty-one billion, six hundred thirty-eight million, two hundred fifty-four thousand, nine hundred forty-four".