11657987466048 has 1008 divisors, whose sum is σ = 43879675926528. Its totient is φ = 2923216128000.

The previous prime is 11657987466043. The next prime is 11657987466071. The reversal of 11657987466048 is 84066478975611.

11657987466048 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 9 + 8 + 7 + 4 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657987466043) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4725571311 + ... + 4725573777.

Almost surely, 2^{11657987466048} is an apocalyptic number.

11657987466048 is a gapful number since it is divisible by the number (18) 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 11657987466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939837963264).

11657987466048 is an abundant number, since it is smaller than the sum of its proper divisors (32221688460480).

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

11657987466048 is a wasteful number, since it uses less digits than its factorization.

11657987466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 11657987466048 in words is "eleven trillion, six hundred fifty-seven billion, nine hundred eighty-seven million, four hundred sixty-six thousand, forty-eight".