1187348004864 has 1350 divisors, whose sum is σ = 4488240820140. Its totient is φ = 311020093440.

The previous prime is 1187348004853. The next prime is 1187348004929. The reversal of 1187348004864 is 4684008437811.

1187348004864 is a `hidden beast` number, since 1 + 1 + 87 + 3 + 4 + 80 + 0 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1187348004864.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 38301548529 + ... + 38301548559.

Almost surely, 2^{1187348004864} is an apocalyptic number.

1187348004864 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 1187348004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244120410070).

1187348004864 is an abundant number, since it is smaller than the sum of its proper divisors (3300892815276).

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

1187348004864 is an frugal number, since it uses more digits than its factorization.

1187348004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1187348004864 in words is "one trillion, one hundred eighty-seven billion, three hundred forty-eight million, four thousand, eight hundred sixty-four".