11237732868096 has 1512 divisors, whose sum is σ = 41685072830856. Its totient is φ = 3009871872000.

The previous prime is 11237732868073. The next prime is 11237732868107. The reversal of 11237732868096 is 69086823773211.

11237732868096 is a `hidden beast` number, since 1 + 123 + 7 + 73 + 286 + 80 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44771843971 + ... + 44771844221.

It is an arithmetic number, because the mean of its divisors is an integer number (27569492613).

Almost surely, 2^{11237732868096} is an apocalyptic number.

11237732868096 is a gapful number since it is divisible by the number (16) 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 11237732868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842536415428).

11237732868096 is an abundant number, since it is smaller than the sum of its proper divisors (30447339962760).

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

11237732868096 is an frugal number, since it uses more digits than its factorization.

11237732868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 11237732868096 in words is "eleven trillion, two hundred thirty-seven billion, seven hundred thirty-two million, eight hundred sixty-eight thousand, ninety-six".