351450049617936 has 300 divisors, whose sum is σ = 1028176747015572. Its totient is φ = 115892969398272.

The previous prime is 351450049617923. The next prime is 351450049617971. The reversal of 351450049617936 is 639716940054153.

351450049617936 is a `hidden beast` number, since 3 + 5 + 1 + 4 + 5 + 0 + 0 + 4 + 9 + 617 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 209548206608400 + 141901843009536 = 14475780^2 + 11912256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15242650120 + ... + 15242673176.

Almost surely, 2^{351450049617936} is an apocalyptic number.

351450049617936 is a gapful number since it is divisible by the number (36) 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 351450049617936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514088373507786).

351450049617936 is an abundant number, since it is smaller than the sum of its proper divisors (676726697397636).

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

351450049617936 is a wasteful number, since it uses less digits than its factorization.

351450049617936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23800 (or 23492 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 351450049617936 in words is "three hundred fifty-one trillion, four hundred fifty billion, forty-nine million, six hundred seventeen thousand, nine hundred thirty-six".