11457101910 has 64 divisors (see below), whose sum is σ = 28200602304. Its totient is φ = 2977228800.

The previous prime is 11457101899. The next prime is 11457102001. The reversal of 11457101910 is 1910175411.

It is a happy number.

It is a super-2 number, since 2×11457101910² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147540 + ... + 1157480.

It is an arithmetic number, because the mean of its divisors is an integer number (440634411).

Almost surely, 2^11457101910 is an apocalyptic number.

11457101910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11457101910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100301152).

11457101910 is an abundant number, since it is smaller than the sum of its proper divisors (16743500394).

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

11457101910 is a wasteful number, since it uses less digits than its factorization.

11457101910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929.

The product of its (nonzero) digits is 1260, while the sum is 30.

The spelling of 11457101910 in words is "eleven billion, four hundred fifty-seven million, one hundred one thousand, nine hundred ten".