248956899840 has 1440 divisors, whose sum is σ = 1042582020480. Its totient is φ = 56251514880.

The previous prime is 248956899827. The next prime is 248956899859. The reversal of 248956899840 is 48998659842.

248956899840 is a `hidden beast` number, since 2 + 489 + 5 + 68 + 9 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2417057229 + ... + 2417057331.

It is an arithmetic number, because the mean of its divisors is an integer number (724015292).

Almost surely, 2^248956899840 is an apocalyptic number.

248956899840 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 248956899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521291010240).

248956899840 is an abundant number, since it is smaller than the sum of its proper divisors (793625120640).

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

248956899840 is a wasteful number, since it uses less digits than its factorization.

248956899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 248956899840 in words is "two hundred forty-eight billion, nine hundred fifty-six million, eight hundred ninety-nine thousand, eight hundred forty".