147672211968 has 630 divisors, whose sum is σ = 482979022911. Its totient is φ = 45076414464.

The previous prime is 147672211963. The next prime is 147672211969. The reversal of 147672211968 is 869112276741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

147672211968 is a `hidden beast` number, since 1 + 476 + 72 + 2 + 11 + 96 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 147492866304 + 179345664 = 384048^2 + 13392^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=271728.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2032128) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (147672211963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3991140846 + ... + 3991140882.

Almost surely, 2^147672211968 is an apocalyptic number.

147672211968 is a gapful number since it is divisible by the number (18) 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 147672211968

147672211968 is an abundant number, since it is smaller than the sum of its proper divisors (335306810943).

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

147672211968 is an frugal number, since it uses more digits than its factorization.

147672211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 59 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 147672211968 in words is "one hundred forty-seven billion, six hundred seventy-two million, two hundred eleven thousand, nine hundred sixty-eight".