245597648486400 has 3840 divisors, whose sum is σ = 1159649521430400. Its totient is φ = 50023114997760.

The previous prime is 245597648486371. The next prime is 245597648486441. The reversal of 245597648486400 is 4684846795542.

245597648486400 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 9 + 7 + 64 + 84 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 150029106382 + ... + 150029108018.

Almost surely, 2^{245597648486400} is an apocalyptic number.

245597648486400 is a gapful number since it is divisible by the number (20) 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 245597648486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579824760715200).

245597648486400 is an abundant number, since it is smaller than the sum of its proper divisors (914051872944000).

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

245597648486400 is a wasteful number, since it uses less digits than its factorization.

245597648486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 245597648486400 in words is "two hundred forty-five trillion, five hundred ninety-seven billion, six hundred forty-eight million, four hundred eighty-six thousand, four hundred".