11551511166048 has 72 divisors (see below), whose sum is σ = 37542411296208. Its totient is φ = 3300431761152.

The previous prime is 11551511166023. The next prime is 11551511166131. The reversal of 11551511166048 is 84066111515511.

11551511166048 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 15 + 11 + 16 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×11551511166048⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11551511165994 and 11551511166012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2864956111 + ... + 2864960142.

It is an arithmetic number, because the mean of its divisors is an integer number (521422379114).

Almost surely, 2^{11551511166048} is an apocalyptic number.

11551511166048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11551511166048 is an abundant number, since it is smaller than the sum of its proper divisors (25990900130160).

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

11551511166048 is a wasteful number, since it uses less digits than its factorization.

11551511166048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729916276 (or 5729916265 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 45.

The spelling of 11551511166048 in words is "eleven trillion, five hundred fifty-one billion, five hundred eleven million, one hundred sixty-six thousand, forty-eight".