1164956748480 has 700 divisors, whose sum is σ = 4834586053440. Its totient is φ = 266261603328.

The previous prime is 1164956748457. The next prime is 1164956748509. The reversal of 1164956748480 is 848476594611.

1164956748480 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 95 + 67 + 4 + 8 + 480 = 666.

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

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 62224561 + ... + 62243279.

Almost surely, 2^{1164956748480} is an apocalyptic number.

1164956748480 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 1164956748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417293026720).

1164956748480 is an abundant number, since it is smaller than the sum of its proper divisors (3669629304960).

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

1164956748480 is an frugal number, since it uses more digits than its factorization.

1164956748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18776 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1164956748480 in words is "one trillion, one hundred sixty-four billion, nine hundred fifty-six million, seven hundred forty-eight thousand, four hundred eighty".