1121640617664 has 336 divisors, whose sum is σ = 3758873701440. Its totient is φ = 313170001920.

The previous prime is 1121640617653. The next prime is 1121640617681. The reversal of 1121640617664 is 4667160461211.

1121640617664 is a `hidden beast` number, since 1 + 1 + 2 + 16 + 406 + 176 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1121640617664³ (a number of 37 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 32065144 + ... + 32100104.

Almost surely, 2^{1121640617664} is an apocalyptic number.

1121640617664 is a gapful number since it is divisible by the number (14) 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 1121640617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879436850720).

1121640617664 is an abundant number, since it is smaller than the sum of its proper divisors (2637233083776).

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

1121640617664 is a wasteful number, since it uses less digits than its factorization.

1121640617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35168 (or 35155 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1121640617664 in words is "one trillion, one hundred twenty-one billion, six hundred forty million, six hundred seventeen thousand, six hundred sixty-four".