1149119870976 has 1152 divisors, whose sum is σ = 4435393697280. Its totient is φ = 277453209600.

The previous prime is 1149119870953. The next prime is 1149119871001. The reversal of 1149119870976 is 6790789119411.

1149119870976 is a `hidden beast` number, since 1 + 1 + 491 + 1 + 9 + 8 + 70 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 2340366091 + ... + 2340366581.

It is an arithmetic number, because the mean of its divisors is an integer number (3850168140).

Almost surely, 2^{1149119870976} is an apocalyptic number.

1149119870976 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 1149119870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217696848640).

1149119870976 is an abundant number, since it is smaller than the sum of its proper divisors (3286273826304).

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

1149119870976 is a wasteful number, since it uses less digits than its factorization.

1149119870976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 63.

The spelling of 1149119870976 in words is "one trillion, one hundred forty-nine billion, one hundred nineteen million, eight hundred seventy thousand, nine hundred seventy-six".