114206492400 has 960 divisors, whose sum is σ = 507210203136. Its totient is φ = 21192192000.

The previous prime is 114206492359. The next prime is 114206492417. The reversal of 114206492400 is 4294602411.

It is a super-2 number, since 2×114206492400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37235667 + ... + 37238733.

Almost surely, 2^114206492400 is an apocalyptic number.

114206492400 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 114206492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253605101568).

114206492400 is an abundant number, since it is smaller than the sum of its proper divisors (393003710736).

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

114206492400 is a wasteful number, since it uses less digits than its factorization.

114206492400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

It can be divided in two parts, 114206 and 492400, that added together give a palindrome (606606).

The spelling of 114206492400 in words is "one hundred fourteen billion, two hundred six million, four hundred ninety-two thousand, four hundred".