434715049125 has 64 divisors (see below), whose sum is σ = 918559848960. Its totient is φ = 198726868800.

The previous prime is 434715049099. The next prime is 434715049147. The reversal of 434715049125 is 521940517434.

434715049125 is a `hidden beast` number, since 4 + 3 + 4 + 7 + 150 + 491 + 2 + 5 = 666.

It is not a de Polignac number, because 434715049125 - 2⁸ = 434715048869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9176694 + ... + 9223943.

It is an arithmetic number, because the mean of its divisors is an integer number (14352497640).

Almost surely, 2^434715049125 is an apocalyptic number.

434715049125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

434715049125 is an abundant number, since it is smaller than the sum of its proper divisors (483844799835).

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

434715049125 is a wasteful number, since it uses less digits than its factorization.

434715049125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400668 (or 18400652 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 434715049125 in words is "four hundred thirty-four billion, seven hundred fifteen million, forty-nine thousand, one hundred twenty-five".