151611864668160 has 3072 divisors, whose sum is σ = 604145558016000. Its totient is φ = 32044147015680.

The previous prime is 151611864668123. The next prime is 151611864668167. The reversal of 151611864668160 is 61866468116151.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 151611864668094 and 151611864668103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151611864668167) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 576470968189 + ... + 576470968451.

It is an arithmetic number, because the mean of its divisors is an integer number (196661965500).

Almost surely, 2^{151611864668160} is an apocalyptic number.

151611864668160 is a gapful number since it is divisible by the number (10) 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 151611864668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302072779008000).

151611864668160 is an abundant number, since it is smaller than the sum of its proper divisors (452533693347840).

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

151611864668160 is a wasteful number, since it uses less digits than its factorization.

151611864668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 151611864668160 in words is "one hundred fifty-one trillion, six hundred eleven billion, eight hundred sixty-four million, six hundred sixty-eight thousand, one hundred sixty".