248812861676400 has 3600 divisors, whose sum is σ = 1110299956254720. Its totient is φ = 53110129766400.

The previous prime is 248812861676359. The next prime is 248812861676441. The reversal of 248812861676400 is 4676168218842.

It is a happy number.

248812861676400 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 1 + 2 + 8 + 616 + 7 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248812861676359) and next prime (248812861676441).

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 253115830309 + ... + 253115831291.

Almost surely, 2^{248812861676400} is an apocalyptic number.

248812861676400 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 248812861676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555149978127360).

248812861676400 is an abundant number, since it is smaller than the sum of its proper divisors (861487094578320).

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

248812861676400 is a wasteful number, since it uses less digits than its factorization.

248812861676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 248812861676400 in words is "two hundred forty-eight trillion, eight hundred twelve billion, eight hundred sixty-one million, six hundred seventy-six thousand, four hundred".