1151056606656 has 224 divisors, whose sum is σ = 3341235156480. Its totient is φ = 346828492800.

The previous prime is 1151056606639. The next prime is 1151056606691. The reversal of 1151056606656 is 6566066501511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661145946 + ... + 661147686.

Almost surely, 2^{1151056606656} is an apocalyptic number.

1151056606656 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 1151056606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670617578240).

1151056606656 is an abundant number, since it is smaller than the sum of its proper divisors (2190178549824).

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

1151056606656 is a wasteful number, since it uses less digits than its factorization.

1151056606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 1151056606656 in words is "one trillion, one hundred fifty-one billion, fifty-six million, six hundred six thousand, six hundred fifty-six".