4657453686144 has 640 divisors, whose sum is σ = 16768334880000. Its totient is φ = 1253554900992.

The previous prime is 4657453686131. The next prime is 4657453686157. The reversal of 4657453686144 is 4416863547564.

4657453686144 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 4 + 5 + 3 + 6 + 8 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4657453686131) and next prime (4657453686157).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246821542 + ... + 246840410.

It is an arithmetic number, because the mean of its divisors is an integer number (26200523250).

Almost surely, 2^{4657453686144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4657453686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384167440000).

4657453686144 is an abundant number, since it is smaller than the sum of its proper divisors (12110881193856).

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

4657453686144 is a wasteful number, since it uses less digits than its factorization.

4657453686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19100 (or 19079 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 4657453686144 in words is "four trillion, six hundred fifty-seven billion, four hundred fifty-three million, six hundred eighty-six thousand, one hundred forty-four".