1114157189376 has 1296 divisors, whose sum is σ = 4353633661440. Its totient is φ = 279736934400.

The previous prime is 1114157189371. The next prime is 1114157189393. The reversal of 1114157189376 is 6739817514111.

1114157189376 is a `hidden beast` number, since 1 + 1 + 1 + 41 + 57 + 189 + 376 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1114157189371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1270418250 + ... + 1270419126.

Almost surely, 2^{1114157189376} is an apocalyptic number.

1114157189376 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 1114157189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176816830720).

1114157189376 is an abundant number, since it is smaller than the sum of its proper divisors (3239476472064).

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

1114157189376 is a wasteful number, since it uses less digits than its factorization.

1114157189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 931 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 1114157189376 in words is "one trillion, one hundred fourteen billion, one hundred fifty-seven million, one hundred eighty-nine thousand, three hundred seventy-six".