2456214540164 has 48 divisors (see below), whose sum is σ = 5371110936576. Its totient is φ = 954806455200.

The previous prime is 2456214540163. The next prime is 2456214540191. The reversal of 2456214540164 is 4610454126542.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2456214540163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8864372 + ... + 9137259.

It is an arithmetic number, because the mean of its divisors is an integer number (111898144512).

Almost surely, 2^{2456214540164} is an apocalyptic number.

It is an amenable number.

2456214540164 is an abundant number, since it is smaller than the sum of its proper divisors (2914896396412).

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

2456214540164 is a wasteful number, since it uses less digits than its factorization.

2456214540164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002096 (or 18002094 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 2456214540164 in words is "two trillion, four hundred fifty-six billion, two hundred fourteen million, five hundred forty thousand, one hundred sixty-four".