248687130398400 has 2352 divisors, whose sum is σ = 964240950254400. Its totient is φ = 63019192320000.

The previous prime is 248687130398339. The next prime is 248687130398431. The reversal of 248687130398400 is 4893031786842.

248687130398400 is a `hidden beast` number, since 2 + 4 + 8 + 6 + 8 + 7 + 130 + 3 + 98 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 924487473466 + ... + 924487473734.

Almost surely, 2^{248687130398400} is an apocalyptic number.

248687130398400 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 248687130398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482120475127200).

248687130398400 is an abundant number, since it is smaller than the sum of its proper divisors (715553819856000).

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

248687130398400 is a wasteful number, since it uses less digits than its factorization.

248687130398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 248687130398400 in words is "two hundred forty-eight trillion, six hundred eighty-seven billion, one hundred thirty million, three hundred ninety-eight thousand, four hundred".