11468271400 has 72 divisors (see below), whose sum is σ = 28324590570. Its totient is φ = 4317445120.

The previous prime is 11468271337. The next prime is 11468271401. The reversal of 11468271400 is 417286411.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2336175556 + 9132095844 = 48334^2 + 95562^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (11468271401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41407 + ... + 157006.

Almost surely, 2^11468271400 is an apocalyptic number.

11468271400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11468271400 is an abundant number, since it is smaller than the sum of its proper divisors (16856319170).

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

11468271400 is a wasteful number, since it uses less digits than its factorization.

11468271400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198463 (or 198437 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 11468271400 in words is "eleven billion, four hundred sixty-eight million, two hundred seventy-one thousand, four hundred".