147424048890624 has 1728 divisors, whose sum is σ = 497040799933440. Its totient is φ = 43591992238080.

The previous prime is 147424048890511. The next prime is 147424048890641. The reversal of 147424048890624 is 426098840424741.

It is a happy number.

147424048890624 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 2 + 4 + 0 + 488 + 90 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 882778735789 + ... + 882778735955.

Almost surely, 2^{147424048890624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147424048890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248520399966720).

147424048890624 is an abundant number, since it is smaller than the sum of its proper divisors (349616751042816).

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

147424048890624 is an equidigital number, since it uses as much as digits as its factorization.

147424048890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 147424048890624 in words is "one hundred forty-seven trillion, four hundred twenty-four billion, forty-eight million, eight hundred ninety thousand, six hundred twenty-four".