151949213416 has 256 divisors, whose sum is σ = 393094840320. Its totient is φ = 53146368000.

The previous prime is 151949213401. The next prime is 151949213417. The reversal of 151949213416 is 614312949151.

151949213416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151949213416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151949213417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153328681 + ... + 153329671.

It is an arithmetic number, because the mean of its divisors is an integer number (1535526720).

Almost surely, 2^151949213416 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 151949213416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

151949213416 is an abundant number, since it is smaller than the sum of its proper divisors (241145626904).

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

151949213416 is a wasteful number, since it uses less digits than its factorization.

151949213416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

The spelling of 151949213416 in words is "one hundred fifty-one billion, nine hundred forty-nine million, two hundred thirteen thousand, four hundred sixteen".