147949162905600 has 1080 divisors, whose sum is σ = 606190197281760. Its totient is φ = 33788516106240.

The previous prime is 147949162905587. The next prime is 147949162905653. The reversal of 147949162905600 is 6509261949741.

147949162905600 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 4 + 9 + 1 + 62 + 9 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×147949162905600² (a number of 29 digits) contains 22 as substring.

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

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, 54938417854 + ... + 54938420546.

Almost surely, 2^{147949162905600} is an apocalyptic number.

147949162905600 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 147949162905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303095098640880).

147949162905600 is an abundant number, since it is smaller than the sum of its proper divisors (458241034376160).

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

147949162905600 is a wasteful number, since it uses less digits than its factorization.

147949162905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 147949162905600 in words is "one hundred forty-seven trillion, nine hundred forty-nine billion, one hundred sixty-two million, nine hundred five thousand, six hundred".