147976481278080 has 1536 divisors, whose sum is σ = 633920026521600. Its totient is φ = 30972975022080.

The previous prime is 147976481278057. The next prime is 147976481278111. The reversal of 147976481278080 is 80872184679741.

147976481278080 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 76 + 481 + 2 + 78 + 0 + 8 + 0 = 666.

It is a super-4 number, since 4×147976481278080⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 191 ways as a sum of consecutive naturals, for example, 54183990315 + ... + 54183993045.

It is an arithmetic number, because the mean of its divisors is an integer number (412708350600).

Almost surely, 2^{147976481278080} is an apocalyptic number.

147976481278080 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 147976481278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316960013260800).

147976481278080 is an abundant number, since it is smaller than the sum of its proper divisors (485943545243520).

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

147976481278080 is a wasteful number, since it uses less digits than its factorization.

147976481278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 147976481278080 in words is "one hundred forty-seven trillion, nine hundred seventy-six billion, four hundred eighty-one million, two hundred seventy-eight thousand, eighty".