151874355849216 has 1728 divisors, whose sum is σ = 565518937576320. Its totient is φ = 35892618854400.

The previous prime is 151874355849163. The next prime is 151874355849277. The reversal of 151874355849216 is 612948553478151.

It is a super-2 number, since 2×151874355849216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33622834990 + ... + 33622839506.

It is an arithmetic number, because the mean of its divisors is an integer number (327267903690).

Almost surely, 2^{151874355849216} is an apocalyptic number.

151874355849216 is a gapful number since it is divisible by the number (16) 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 151874355849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282759468788160).

151874355849216 is an abundant number, since it is smaller than the sum of its proper divisors (413644581727104).

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

151874355849216 is a wasteful number, since it uses less digits than its factorization.

151874355849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4624 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 69.

The spelling of 151874355849216 in words is "one hundred fifty-one trillion, eight hundred seventy-four billion, three hundred fifty-five million, eight hundred forty-nine thousand, two hundred sixteen".