114370021271520 has 384 divisors, whose sum is σ = 457652585779200. Its totient is φ = 26131861979136.

The previous prime is 114370021271507. The next prime is 114370021271543. The reversal of 114370021271520 is 25172120073411.

114370021271520 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 7 + 0 + 0 + 2 + 127 + 1 + 520 = 666.

It is a super-2 number, since 2×114370021271520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 79635961 + ... + 81059399.

It is an arithmetic number, because the mean of its divisors is an integer number (1191803608800).

Almost surely, 2^{114370021271520} is an apocalyptic number.

114370021271520 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 114370021271520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228826292889600).

114370021271520 is an abundant number, since it is smaller than the sum of its proper divisors (343282564507680).

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

114370021271520 is a wasteful number, since it uses less digits than its factorization.

114370021271520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426127 (or 1426113 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 114370021271520 in words is "one hundred fourteen trillion, three hundred seventy billion, twenty-one million, two hundred seventy-one thousand, five hundred twenty".