147977747313408 has 288 divisors, whose sum is σ = 441213630341120. Its totient is φ = 48918465146880.

The previous prime is 147977747313379. The next prime is 147977747313419. The reversal of 147977747313408 is 804313747779741.

147977747313408 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 77 + 74 + 73 + 13 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349903363 + ... + 2349966333.

Almost surely, 2^{147977747313408} is an apocalyptic number.

147977747313408 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 147977747313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220606815170560).

147977747313408 is an abundant number, since it is smaller than the sum of its proper divisors (293235883027712).

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

147977747313408 is a wasteful number, since it uses less digits than its factorization.

147977747313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65800 (or 65780 counting only the distinct ones).

The product of its (nonzero) digits is 697019904, while the sum is 72.

The spelling of 147977747313408 in words is "one hundred forty-seven trillion, nine hundred seventy-seven billion, seven hundred forty-seven million, three hundred thirteen thousand, four hundred eight".