114677677400 has 288 divisors, whose sum is σ = 316685980800. Its totient is φ = 38362368000.

The previous prime is 114677677369. The next prime is 114677677421. The reversal of 114677677400 is 4776776411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150693020 + ... + 150693780.

It is an arithmetic number, because the mean of its divisors is an integer number (1099604100).

Almost surely, 2^114677677400 is an apocalyptic number.

114677677400 is a gapful number since it is divisible by the number (10) 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 114677677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158342990400).

114677677400 is an abundant number, since it is smaller than the sum of its proper divisors (202008303400).

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

114677677400 is a wasteful number, since it uses less digits than its factorization.

114677677400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 50.

It can be divided in two parts, 11467 and 7677400, that added together give a palindrome (7688867).

The spelling of 114677677400 in words is "one hundred fourteen billion, six hundred seventy-seven million, six hundred seventy-seven thousand, four hundred".