35314000925952 has 432 divisors, whose sum is σ = 114022192768512. Its totient is φ = 9663546654720.

The previous prime is 35314000925933. The next prime is 35314000926019. The reversal of 35314000925952 is 25952900041353.

It is a happy number.

It is a super-2 number, since 2×35314000925952² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113003388 + ... + 113315460.

Almost surely, 2^{35314000925952} is an apocalyptic number.

35314000925952 is a gapful number since it is divisible by the number (32) 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 35314000925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57011096384256).

35314000925952 is an abundant number, since it is smaller than the sum of its proper divisors (78708191842560).

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

35314000925952 is a wasteful number, since it uses less digits than its factorization.

35314000925952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312234 (or 312213 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 35314000925952 in words is "thirty-five trillion, three hundred fourteen billion, nine hundred twenty-five thousand, nine hundred fifty-two".