11630178709632 has 1024 divisors, whose sum is σ = 42195686400000. Its totient is φ = 3079596589056.

The previous prime is 11630178709603. The next prime is 11630178709649. The reversal of 11630178709632 is 23690787103611.

11630178709632 is a `hidden beast` number, since 116 + 301 + 78 + 70 + 96 + 3 + 2 = 666.

It is a super-2 number, since 2×11630178709632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14592444658 + ... + 14592445454.

It is an arithmetic number, because the mean of its divisors is an integer number (41206725000).

Almost surely, 2^{11630178709632} is an apocalyptic number.

11630178709632 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 11630178709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200000).

11630178709632 is an abundant number, since it is smaller than the sum of its proper divisors (30565507690368).

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

11630178709632 is a wasteful number, since it uses less digits than its factorization.

11630178709632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11630178709632 in words is "eleven trillion, six hundred thirty billion, one hundred seventy-eight million, seven hundred nine thousand, six hundred thirty-two".