1131710235264 has 192 divisors, whose sum is σ = 3768958752000. Its totient is φ = 319252617216.

The previous prime is 1131710235241. The next prime is 1131710235289. The reversal of 1131710235264 is 4625320171311.

1131710235264 is a `hidden beast` number, since 1 + 13 + 17 + 102 + 3 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 251179 + ... + 1525290.

It is an arithmetic number, because the mean of its divisors is an integer number (19629993500).

Almost surely, 2^{1131710235264} is an apocalyptic number.

1131710235264 is a gapful number since it is divisible by the number (14) 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 1131710235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884479376000).

1131710235264 is an abundant number, since it is smaller than the sum of its proper divisors (2637248516736).

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

1131710235264 is a wasteful number, since it uses less digits than its factorization.

1131710235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776575 (or 1776560 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1131710235264 in words is "one trillion, one hundred thirty-one billion, seven hundred ten million, two hundred thirty-five thousand, two hundred sixty-four".