151627885314048 has 1584 divisors, whose sum is σ = 538304472313776. Its totient is φ = 42103807672320.

The previous prime is 151627885314047. The next prime is 151627885314053. The reversal of 151627885314048 is 840413588726151.

151627885314048 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 278 + 8 + 5 + 314 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×151627885314048² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151627885314047) 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 87 ways as a sum of consecutive naturals, for example, 1106772885436 + ... + 1106772885572.

Almost surely, 2^{151627885314048} is an apocalyptic number.

151627885314048 is a gapful number since it is divisible by the number (18) 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 151627885314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269152236156888).

151627885314048 is an abundant number, since it is smaller than the sum of its proper divisors (386676586999728).

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

151627885314048 is an frugal number, since it uses more digits than its factorization.

151627885314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 151627885314048 in words is "one hundred fifty-one trillion, six hundred twenty-seven billion, eight hundred eighty-five million, three hundred fourteen thousand, forty-eight".