2154651764616 has 256 divisors, whose sum is σ = 6841437120000. Its totient is φ = 622440308736.

The previous prime is 2154651764611. The next prime is 2154651764687. The reversal of 2154651764616 is 6164671564512.

2154651764616 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 6 + 5 + 17 + 6 + 4 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2154651764611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19468845 + ... + 19579203.

It is an arithmetic number, because the mean of its divisors is an integer number (26724363750).

Almost surely, 2^{2154651764616} is an apocalyptic number.

2154651764616 is a gapful number since it is divisible by the number (26) 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 2154651764616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420718560000).

2154651764616 is an abundant number, since it is smaller than the sum of its proper divisors (4686785355384).

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

2154651764616 is a wasteful number, since it uses less digits than its factorization.

2154651764616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110813 (or 110803 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 2154651764616 in words is "two trillion, one hundred fifty-four billion, six hundred fifty-one million, seven hundred sixty-four thousand, six hundred sixteen".