114615401472 has 264 divisors, whose sum is σ = 388812256560. Its totient is φ = 32059883520.

The previous prime is 114615401447. The next prime is 114615401587. The reversal of 114615401472 is 274104516411.

114615401472 is a `hidden beast` number, since 1 + 1 + 46 + 1 + 540 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274404 + ... + 1361372.

Almost surely, 2^114615401472 is an apocalyptic number.

114615401472 is a gapful number since it is divisible by the number (12) 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 114615401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194406128280).

114615401472 is an abundant number, since it is smaller than the sum of its proper divisors (274196855088).

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

114615401472 is a wasteful number, since it uses less digits than its factorization.

114615401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87019 (or 86998 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 114615401472 its reverse (274104516411), we get a palindrome (388719917883).

The spelling of 114615401472 in words is "one hundred fourteen billion, six hundred fifteen million, four hundred one thousand, four hundred seventy-two".