148027767946560 has 672 divisors, whose sum is σ = 533166767527680. Its totient is φ = 37624682151936.

The previous prime is 148027767946543. The next prime is 148027767946573. The reversal of 148027767946560 is 65649767720841.

148027767946560 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 27 + 76 + 79 + 465 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 46128938236 + ... + 46128941444.

Almost surely, 2^{148027767946560} is an apocalyptic number.

148027767946560 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 148027767946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266583383763840).

148027767946560 is an abundant number, since it is smaller than the sum of its proper divisors (385138999581120).

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

148027767946560 is a wasteful number, since it uses less digits than its factorization.

148027767946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 148027767946560 in words is "one hundred forty-eight trillion, twenty-seven billion, seven hundred sixty-seven million, nine hundred forty-six thousand, five hundred sixty".