11137170492 has 480 divisors, whose sum is σ = 38756551680. Its totient is φ = 2709780480.

The previous prime is 11137170479. The next prime is 11137170493. The reversal of 11137170492 is 29407173111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11137170493) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16848642 + ... + 16849302.

It is an arithmetic number, because the mean of its divisors is an integer number (80742816).

Almost surely, 2^11137170492 is an apocalyptic number.

11137170492 is a gapful number since it is divisible by the number (12) 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 11137170492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378275840).

11137170492 is an abundant number, since it is smaller than the sum of its proper divisors (27619381188).

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

11137170492 is a wasteful number, since it uses less digits than its factorization.

11137170492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 11137170492 in words is "eleven billion, one hundred thirty-seven million, one hundred seventy thousand, four hundred ninety-two".