148947600384000 has 4704 divisors, whose sum is σ = 655372800705168. Its totient is φ = 33634123776000.

The previous prime is 148947600383971. The next prime is 148947600384029. The reversal of 148947600384000 is 483006749841.

148947600384000 is a `hidden beast` number, since 14 + 89 + 476 + 0 + 0 + 3 + 84 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148947600383971) and next prime (148947600384029).

It can be written as a sum of positive squares in 8 ways, for example, as 13180733558784 + 135766866825216 = 3630528^2 + 11651904^2 .

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 335 ways as a sum of consecutive naturals, for example, 1535542271952 + ... + 1535542272048.

Almost surely, 2^{148947600384000} is an apocalyptic number.

148947600384000 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 148947600384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327686400352584).

148947600384000 is an abundant number, since it is smaller than the sum of its proper divisors (506425200321168).

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

148947600384000 is an frugal number, since it uses more digits than its factorization.

148947600384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 148947600384000 in words is "one hundred forty-eight trillion, nine hundred forty-seven billion, six hundred million, three hundred eighty-four thousand".