148988657664 has 704 divisors, whose sum is σ = 557244629280. Its totient is φ = 38698352640.

The previous prime is 148988657663. The next prime is 148988657677. The reversal of 148988657664 is 466756889841.

148988657664 is a `hidden beast` number, since 1 + 48 + 9 + 8 + 8 + 6 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×148988657664² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 148988657592 and 148988657601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148988657663) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 13544423419 + ... + 13544423429.

Almost surely, 2^148988657664 is an apocalyptic number.

148988657664 is a gapful number since it is divisible by the number (14) 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 148988657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278622314640).

148988657664 is an abundant number, since it is smaller than the sum of its proper divisors (408255971616).

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

148988657664 is an frugal number, since it uses more digits than its factorization.

148988657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 148988657664 in words is "one hundred forty-eight billion, nine hundred eighty-eight million, six hundred fifty-seven thousand, six hundred sixty-four".