148811640616512 has 672 divisors, whose sum is σ = 462396265269120. Its totient is φ = 47391686737920.

The previous prime is 148811640616481. The next prime is 148811640616531. The reversal of 148811640616512 is 215616046118841.

It is a happy number.

148811640616512 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 1 + 1 + 6 + 4 + 0 + 616 + 5 + 12 = 666.

148811640616512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148811640616512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 79963266462 + ... + 79963268322.

It is an arithmetic number, because the mean of its divisors is an integer number (688089680460).

Almost surely, 2^{148811640616512} is an apocalyptic number.

148811640616512 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 148811640616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231198132634560).

148811640616512 is an abundant number, since it is smaller than the sum of its proper divisors (313584624652608).

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

148811640616512 is a wasteful number, since it uses less digits than its factorization.

148811640616512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 148811640616512 in words is "one hundred forty-eight trillion, eight hundred eleven billion, six hundred forty million, six hundred sixteen thousand, five hundred twelve".