151216097883648 has 1280 divisors, whose sum is σ = 494176370688000. Its totient is φ = 41022757601280.

The previous prime is 151216097883623. The next prime is 151216097883713. The reversal of 151216097883648 is 846388790612151.

151216097883648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×151216097883648³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300628424965 + ... + 300628425467.

It is an arithmetic number, because the mean of its divisors is an integer number (386075289600).

It is a 1-persistent number, because it is pandigital, but 2⋅151216097883648 = 302432195767296 is not.

Almost surely, 2^{151216097883648} 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 151216097883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247088185344000).

151216097883648 is an abundant number, since it is smaller than the sum of its proper divisors (342960272804352).

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

151216097883648 is an equidigital number, since it uses as much as digits as its factorization.

151216097883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 151216097883648 in words is "one hundred fifty-one trillion, two hundred sixteen billion, ninety-seven million, eight hundred eighty-three thousand, six hundred forty-eight".