114370217052 has 384 divisors, whose sum is σ = 360634982400. Its totient is φ = 27361152000.

The previous prime is 114370217021. The next prime is 114370217069. The reversal of 114370217052 is 250712073411.

It is a super-3 number, since 3×114370217052³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78820927 + ... + 78822377.

It is an arithmetic number, because the mean of its divisors is an integer number (939153600).

Almost surely, 2^114370217052 is an apocalyptic number.

114370217052 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 114370217052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180317491200).

114370217052 is an abundant number, since it is smaller than the sum of its proper divisors (246264765348).

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

114370217052 is a wasteful number, since it uses less digits than its factorization.

114370217052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 114370217052 in words is "one hundred fourteen billion, three hundred seventy million, two hundred seventeen thousand, fifty-two".