150693274835712 has 864 divisors, whose sum is σ = 516232489823232. Its totient is φ = 41380793450496.

The previous prime is 150693274835693. The next prime is 150693274835729. The reversal of 150693274835712 is 217538472396051.

150693274835712 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 9 + 3 + 274 + 8 + 357 + 1 + 2 = 666.

It is a super-2 number, since 2×150693274835712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 150693274835712.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16243746018 + ... + 16243755294.

It is a 3-persistent number, because k⋅150693274835712 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{150693274835712} is an apocalyptic number.

150693274835712 is a gapful number since it is divisible by the number (12) 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 150693274835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258116244911616).

150693274835712 is an abundant number, since it is smaller than the sum of its proper divisors (365539214987520).

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

150693274835712 is a wasteful number, since it uses less digits than its factorization.

150693274835712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 150693274835712 in words is "one hundred fifty trillion, six hundred ninety-three billion, two hundred seventy-four million, eight hundred thirty-five thousand, seven hundred twelve".