10148670400 has 168 divisors, whose sum is σ = 27393960960. Its totient is φ = 3669888000.

The previous prime is 10148670377. The next prime is 10148670419. The reversal of 10148670400 is 407684101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3360091 + ... + 3363109.

Almost surely, 2^10148670400 is an apocalyptic number.

10148670400 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 10148670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696980480).

10148670400 is an abundant number, since it is smaller than the sum of its proper divisors (17245290560).

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

10148670400 is a wasteful number, since it uses less digits than its factorization.

10148670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 10148670400 in words is "ten billion, one hundred forty-eight million, six hundred seventy thousand, four hundred".