245702132928 has 336 divisors, whose sum is σ = 813798768640. Its totient is φ = 69425620992.

The previous prime is 245702132873. The next prime is 245702132969. The reversal of 245702132928 is 829231207542.

245702132928 is a `hidden beast` number, since 2 + 4 + 570 + 21 + 32 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224795550 + ... + 224796642.

Almost surely, 2^245702132928 is an apocalyptic number.

245702132928 is a gapful number since it is divisible by the number (28) 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 245702132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406899384320).

245702132928 is an abundant number, since it is smaller than the sum of its proper divisors (568096635712).

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

245702132928 is a wasteful number, since it uses less digits than its factorization.

245702132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 245702132928 in words is "two hundred forty-five billion, seven hundred two million, one hundred thirty-two thousand, nine hundred twenty-eight".