147623447701521 has 81 divisors (see below), whose sum is σ = 235393089801051. Its totient is φ = 89084085948000.

The previous prime is 147623447701459. The next prime is 147623447701523. The reversal of 147623447701521 is 125107744326741.

The square root of 147623447701521 is 12150039.

It is a perfect power (a square), and thus also a powerful number.

147623447701521 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 2 + 3 + 4 + 47 + 70 + 1 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226851211521 + 147396596490000 = 476289^2 + 12140700^2 .

It is a de Polignac number, because none of the positive numbers 2^k-147623447701521 is a prime.

It is a super-2 number, since 2×147623447701521² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147623447701523) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113469213571 + ... + 113469214871.

Almost surely, 2^{147623447701521} is an apocalyptic number.

147623447701521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

147623447701521 is the 12150039-th square number.

147623447701521 is the 6075020-th centered octagonal number.

It is an amenable number.

147623447701521 is a deficient number, since it is larger than the sum of its proper divisors (87769642099530).

147623447701521 is an frugal number, since it uses more digits than its factorization.

147623447701521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 147623447701521 in words is "one hundred forty-seven trillion, six hundred twenty-three billion, four hundred forty-seven million, seven hundred one thousand, five hundred twenty-one".