114513235202000 has 80 divisors (see below), whose sum is σ = 276896015116032. Its totient is φ = 45804795753600.

The previous prime is 114513235201979. The next prime is 114513235202017. The reversal of 114513235202000 is 202532315411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114513235202000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223918589 + ... + 224429411.

Almost surely, 2^{114513235202000} is an apocalyptic number.

114513235202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114513235202000 is an abundant number, since it is smaller than the sum of its proper divisors (162382779914032).

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

114513235202000 is a wasteful number, since it uses less digits than its factorization.

114513235202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622933 (or 622917 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 114513235202000 its reverse (202532315411), we get a palindrome (114715767517411).

The spelling of 114513235202000 in words is "one hundred fourteen trillion, five hundred thirteen billion, two hundred thirty-five million, two hundred two thousand".