6101918764032 has 528 divisors, whose sum is σ = 20436127095552. Its totient is φ = 1609120235520.

The previous prime is 6101918763973. The next prime is 6101918764037. The reversal of 6101918764032 is 2304678191016.

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 (6101918764037) 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, 671199807 + ... + 671208897.

Almost surely, 2^{6101918764032} 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 6101918764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218063547776).

6101918764032 is an abundant number, since it is smaller than the sum of its proper divisors (14334208331520).

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

6101918764032 is an frugal number, since it uses more digits than its factorization.

6101918764032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 6101918764032 in words is "six trillion, one hundred one billion, nine hundred eighteen million, seven hundred sixty-four thousand, thirty-two".