151623360000000 has 3328 divisors, whose sum is σ = 675755770060800. Its totient is φ = 32845824000000.

The previous prime is 151623359999983. The next prime is 151623360000059. The reversal of 151623360000000 is 63326151.

151623360000000 is a `hidden beast` number, since 1 + 5 + 1 + 623 + 36 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1391039999946 + ... + 1391040000054.

It is an arithmetic number, because the mean of its divisors is an integer number (203051613600).

Almost surely, 2^{151623360000000} is an apocalyptic number.

151623360000000 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 151623360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337877885030400).

151623360000000 is an abundant number, since it is smaller than the sum of its proper divisors (524132410060800).

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

151623360000000 is an frugal number, since it uses more digits than its factorization.

151623360000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 151623360000000 in words is "one hundred fifty-one trillion, six hundred twenty-three billion, three hundred sixty million", and thus it is an aban number.