618977165148160 has 2048 divisors, whose sum is σ = 1949294850048000. Its totient is φ = 187280916480000.

The previous prime is 618977165148157. The next prime is 618977165148161. The reversal of 618977165148160 is 61841561779816.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 618977165148160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618977165148161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3419763343270 + ... + 3419763343450.

It is an arithmetic number, because the mean of its divisors is an integer number (951804126000).

Almost surely, 2^{618977165148160} 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 618977165148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974647425024000).

618977165148160 is an abundant number, since it is smaller than the sum of its proper divisors (1330317684899840).

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

618977165148160 is a wasteful number, since it uses less digits than its factorization.

618977165148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 70.

The spelling of 618977165148160 in words is "six hundred eighteen trillion, nine hundred seventy-seven billion, one hundred sixty-five million, one hundred forty-eight thousand, one hundred sixty".