147756220416 has 544 divisors, whose sum is σ = 510023475200. Its totient is φ = 41405644800.

The previous prime is 147756220393. The next prime is 147756220457. The reversal of 147756220416 is 614022657741.

147756220416 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 5 + 6 + 220 + 416 = 666.

It is a congruent number.

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, 978517941 + ... + 978518091.

Almost surely, 2^147756220416 is an apocalyptic number.

147756220416 is a gapful number since it is divisible by the number (16) 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 147756220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255011737600).

147756220416 is an abundant number, since it is smaller than the sum of its proper divisors (362267254784).

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

147756220416 is an frugal number, since it uses more digits than its factorization.

147756220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 147756220416 in words is "one hundred forty-seven billion, seven hundred fifty-six million, two hundred twenty thousand, four hundred sixteen".