148470751948032 has 720 divisors, whose sum is σ = 475818927091200. Its totient is φ = 45905398272000.

The previous prime is 148470751948027. The next prime is 148470751948093. The reversal of 148470751948032 is 230849157074841.

148470751948032 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 7 + 0 + 7 + 519 + 4 + 80 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5834496333 + ... + 5834521779.

It is an arithmetic number, because the mean of its divisors is an integer number (660859620960).

Almost surely, 2^{148470751948032} is an apocalyptic number.

148470751948032 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 148470751948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237909463545600).

148470751948032 is an abundant number, since it is smaller than the sum of its proper divisors (327348175143168).

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

148470751948032 is a wasteful number, since it uses less digits than its factorization.

148470751948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25804 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 148470751948032 in words is "one hundred forty-eight trillion, four hundred seventy billion, seven hundred fifty-one million, nine hundred forty-eight thousand, thirty-two".