152216620416 has 320 divisors, whose sum is σ = 548165486880. Its totient is φ = 40931868672.

The previous prime is 152216620357. The next prime is 152216620441. The reversal of 152216620416 is 614026612251.

152216620416 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 16 + 620 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1172106 + ... + 1295478.

Almost surely, 2^152216620416 is an apocalyptic number.

152216620416 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 152216620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274082743440).

152216620416 is an abundant number, since it is smaller than the sum of its proper divisors (395948866464).

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

152216620416 is a wasteful number, since it uses less digits than its factorization.

152216620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123423 (or 123402 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 152216620416 in words is "one hundred fifty-two billion, two hundred sixteen million, six hundred twenty thousand, four hundred sixteen".