114632077703976 has 288 divisors, whose sum is σ = 364842154876680. Its totient is φ = 32417352576000.

The previous prime is 114632077703971. The next prime is 114632077703977. The reversal of 114632077703976 is 679307770236411.

114632077703976 is a `hidden beast` number, since 1 + 1 + 463 + 2 + 0 + 7 + 7 + 70 + 39 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110801939062500 + 3830138641476 = 10526250^2 + 1957074^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (114632077703971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1147682550 + ... + 1147782426.

Almost surely, 2^{114632077703976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114632077703976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182421077438340).

114632077703976 is an abundant number, since it is smaller than the sum of its proper divisors (250210077172704).

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

114632077703976 is a wasteful number, since it uses less digits than its factorization.

114632077703976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103225 (or 103211 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 114632077703976 in words is "one hundred fourteen trillion, six hundred thirty-two billion, seventy-seven million, seven hundred three thousand, nine hundred seventy-six".