1188468965376 has 1920 divisors, whose sum is σ = 4819611525120. Its totient is φ = 280284364800.

The previous prime is 1188468965317. The next prime is 1188468965419. The reversal of 1188468965376 is 6735698648811.

1188468965376 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 4 + 6 + 89 + 6 + 537 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 28987047916 + ... + 28987047956.

It is an arithmetic number, because the mean of its divisors is an integer number (2510214336).

Almost surely, 2^{1188468965376} is an apocalyptic number.

1188468965376 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 1188468965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409805762560).

1188468965376 is an abundant number, since it is smaller than the sum of its proper divisors (3631142559744).

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

1188468965376 is a wasteful number, since it uses less digits than its factorization.

1188468965376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 1188468965376 in words is "one trillion, one hundred eighty-eight billion, four hundred sixty-eight million, nine hundred sixty-five thousand, three hundred seventy-six".