148491664618752 has 2880 divisors, whose sum is σ = 587689310208000. Its totient is φ = 36204888784896.

The previous prime is 148491664618741. The next prime is 148491664618763. The reversal of 148491664618752 is 257816466194841.

It is a happy number.

148491664618752 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 91 + 6 + 6 + 461 + 8 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (148491664618741) and next prime (148491664618763).

It is a super-2 number, since 2×148491664618752² (a number of 29 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 291732150274 + ... + 291732150782.

Almost surely, 2^{148491664618752} is an apocalyptic number.

148491664618752 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 148491664618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293844655104000).

148491664618752 is an abundant number, since it is smaller than the sum of its proper divisors (439197645589248).

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

148491664618752 is a wasteful number, since it uses less digits than its factorization.

148491664618752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 735 counting only the distinct ones).

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

The spelling of 148491664618752 in words is "one hundred forty-eight trillion, four hundred ninety-one billion, six hundred sixty-four million, six hundred eighteen thousand, seven hundred fifty-two".