1187948186496 has 192 divisors, whose sum is σ = 3776901916320. Its totient is φ = 356485595136.

The previous prime is 1187948186461. The next prime is 1187948186527. The reversal of 1187948186496 is 6946818497811.

1187948186496 is a `hidden beast` number, since 1 + 1 + 87 + 9 + 48 + 18 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1187948186496² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868245 + ... + 1769108.

Almost surely, 2^{1187948186496} is an apocalyptic number.

1187948186496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1187948186496 is an abundant number, since it is smaller than the sum of its proper divisors (2588953729824).

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

1187948186496 is a wasteful number, since it uses less digits than its factorization.

1187948186496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637413 (or 2637398 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 1187948186496 in words is "one trillion, one hundred eighty-seven billion, nine hundred forty-eight million, one hundred eighty-six thousand, four hundred ninety-six".