10148938800 has 1440 divisors, whose sum is σ = 47705946624. Its totient is φ = 1806336000.

The previous prime is 10148938799. The next prime is 10148938829. The reversal of 10148938800 is 883984101.

It is a super-2 number, since 2×10148938800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142942765 + ... + 142942835.

Almost surely, 2^10148938800 is an apocalyptic number.

10148938800 is a gapful number since it is divisible by the number (10) 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 10148938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852973312).

10148938800 is an abundant number, since it is smaller than the sum of its proper divisors (37557007824).

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

10148938800 is a wasteful number, since it uses less digits than its factorization.

10148938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 10148938800 in words is "ten billion, one hundred forty-eight million, nine hundred thirty-eight thousand, eight hundred".