114021620940864 has 3584 divisors, whose sum is σ = 446749212672000. Its totient is φ = 25306333839360.

The previous prime is 114021620940863. The next prime is 114021620940907. The reversal of 114021620940864 is 468049026120411.

114021620940864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (114021620940863) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 402903254067 + ... + 402903254349.

It is an arithmetic number, because the mean of its divisors is an integer number (124651008000).

Almost surely, 2^{114021620940864} is an apocalyptic number.

114021620940864 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 114021620940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223374606336000).

114021620940864 is an abundant number, since it is smaller than the sum of its proper divisors (332727591731136).

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

114021620940864 is a wasteful number, since it uses less digits than its factorization.

114021620940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 114021620940864 in words is "one hundred fourteen trillion, twenty-one billion, six hundred twenty million, nine hundred forty thousand, eight hundred sixty-four".