1164914190720 has 1536 divisors, whose sum is σ = 5100312821760. Its totient is φ = 238878720000.

The previous prime is 1164914190719. The next prime is 1164914190757. The reversal of 1164914190720 is 270914194611.

1164914190720 is a `hidden beast` number, since 1 + 1 + 6 + 491 + 4 + 1 + 90 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1551150345 + ... + 1551151095.

It is an arithmetic number, because the mean of its divisors is an integer number (3320516160).

Almost surely, 2^{1164914190720} is an apocalyptic number.

1164914190720 is a gapful number since it is divisible by the number (10) 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 1164914190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550156410880).

1164914190720 is an abundant number, since it is smaller than the sum of its proper divisors (3935398631040).

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

1164914190720 is a wasteful number, since it uses less digits than its factorization.

1164914190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1164914190720 in words is "one trillion, one hundred sixty-four billion, nine hundred fourteen million, one hundred ninety thousand, seven hundred twenty".