34045463025 has 192 divisors, whose sum is σ = 75484057600. Its totient is φ = 14696640000.

The previous prime is 34045463021. The next prime is 34045463041. The reversal of 34045463025 is 52036454043.

34045463025 is a `hidden beast` number, since 340 + 4 + 5 + 4 + 6 + 302 + 5 = 666.

It is not a de Polignac number, because 34045463025 - 2² = 34045463021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34045463021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53954460 + ... + 53955090.

Almost surely, 2^34045463025 is an apocalyptic number.

34045463025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34045463025 is an abundant number, since it is smaller than the sum of its proper divisors (41438594575).

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

34045463025 is a wasteful number, since it uses less digits than its factorization.

34045463025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34045463025 in words is "thirty-four billion, forty-five million, four hundred sixty-three thousand, twenty-five".