148933983744 has 720 divisors, whose sum is σ = 555741149040. Its totient is φ = 39249100800.

The previous prime is 148933983703. The next prime is 148933983763. The reversal of 148933983744 is 447389339841.

148933983744 is a `hidden beast` number, since 1 + 489 + 3 + 3 + 9 + 83 + 74 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 114475894 + ... + 114477194.

It is an arithmetic number, because the mean of its divisors is an integer number (771862707).

Almost surely, 2^148933983744 is an apocalyptic number.

148933983744 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 148933983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277870574520).

148933983744 is an abundant number, since it is smaller than the sum of its proper divisors (406807165296).

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

148933983744 is a wasteful number, since it uses less digits than its factorization.

148933983744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1326 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 148933983744 in words is "one hundred forty-eight billion, nine hundred thirty-three million, nine hundred eighty-three thousand, seven hundred forty-four".