146993753088 has 792 divisors, whose sum is σ = 540572873568. Its totient is φ = 38236520448.

The previous prime is 146993753057. The next prime is 146993753147. The reversal of 146993753088 is 880357399641.

146993753088 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 93 + 7 + 530 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2013613020 + ... + 2013613092.

Almost surely, 2^146993753088 is an apocalyptic number.

146993753088 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 146993753088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270286436784).

146993753088 is an abundant number, since it is smaller than the sum of its proper divisors (393579120480).

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

146993753088 is an frugal number, since it uses more digits than its factorization.

146993753088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 146993753088 in words is "one hundred forty-six billion, nine hundred ninety-three million, seven hundred fifty-three thousand, eighty-eight".