114529207203264 has 448 divisors, whose sum is σ = 373356496945152. Its totient is φ = 30263625216000.

The previous prime is 114529207203227. The next prime is 114529207203311. The reversal of 114529207203264 is 462302702925411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×114529207203264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102919154 + ... + 1103022990.

It is an arithmetic number, because the mean of its divisors is an integer number (833385037824).

Almost surely, 2^{114529207203264} is an apocalyptic number.

114529207203264 is a gapful number since it is divisible by the number (14) 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 114529207203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186678248472576).

114529207203264 is an abundant number, since it is smaller than the sum of its proper divisors (258827289741888).

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

114529207203264 is a wasteful number, since it uses less digits than its factorization.

114529207203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105064 (or 105054 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 114529207203264 in words is "one hundred fourteen trillion, five hundred twenty-nine billion, two hundred seven million, two hundred three thousand, two hundred sixty-four".