14145577100928 has 384 divisors, whose sum is σ = 50191724419200. Its totient is φ = 3723790786560.

The previous prime is 14145577100923. The next prime is 14145577100933. The reversal of 14145577100928 is 82900177554141.

14145577100928 is a `hidden beast` number, since 1 + 4 + 1 + 45 + 577 + 1 + 0 + 0 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (14145577100923) and next prime (14145577100933).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×14145577100928² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14145577100923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56589403 + ... + 56838821.

It is an arithmetic number, because the mean of its divisors is an integer number (130707615675).

Almost surely, 2^{14145577100928} is an apocalyptic number.

14145577100928 is a gapful number since it is divisible by the number (18) 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 14145577100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25095862209600).

14145577100928 is an abundant number, since it is smaller than the sum of its proper divisors (36046147318272).

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

14145577100928 is a wasteful number, since it uses less digits than its factorization.

14145577100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250000 (or 249985 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 14145577100928 in words is "fourteen trillion, one hundred forty-five billion, five hundred seventy-seven million, one hundred thousand, nine hundred twenty-eight".