146863277488656 has 75 divisors (see below), whose sum is σ = 425066196240543. Its totient is φ = 48954280404960.

The previous prime is 146863277488643. The next prime is 146863277488657. The reversal of 146863277488656 is 656884772368641.

The square root of 146863277488656 is 12118716.

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

146863277488656 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 6 + 3 + 2 + 77 + 488 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (146863277488657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 436105461 + ... + 436442091.

Almost surely, 2^{146863277488656} is an apocalyptic number.

146863277488656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146863277488656 is the 12118716-th square number.

It is an amenable number.

146863277488656 is an abundant number, since it is smaller than the sum of its proper divisors (278202918751887).

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

146863277488656 is an frugal number, since it uses more digits than its factorization.

146863277488656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673282 (or 336636 counting only the distinct ones).

The product of its digits is 15606743040, while the sum is 81.

146863277488656 divided by its sum of digits (81) gives a square (1813126882576 = 1346524²).

The spelling of 146863277488656 in words is "one hundred forty-six trillion, eight hundred sixty-three billion, two hundred seventy-seven million, four hundred eighty-eight thousand, six hundred fifty-six".