245553497936032 has 288 divisors, whose sum is σ = 572254682860224. Its totient is φ = 102816038707200.

The previous prime is 245553497936003. The next prime is 245553497936041. The reversal of 245553497936032 is 230639794355542.

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, 97403210932 + ... + 97403213452.

It is an arithmetic number, because the mean of its divisors is an integer number (1986995426598).

Almost surely, 2^{245553497936032} is an apocalyptic number.

245553497936032 is a gapful number since it is divisible by the number (22) 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 245553497936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286127341430112).

245553497936032 is an abundant number, since it is smaller than the sum of its proper divisors (326701184924192).

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

245553497936032 is a wasteful number, since it uses less digits than its factorization.

245553497936032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 67.

The spelling of 245553497936032 in words is "two hundred forty-five trillion, five hundred fifty-three billion, four hundred ninety-seven million, nine hundred thirty-six thousand, thirty-two".