46977961536 has 189 divisors, whose sum is σ = 148188442129. Its totient is φ = 14218406400.

The previous prime is 46977961531. The next prime is 46977961579. The reversal of 46977961536 is 63516977964.

The square root of 46977961536 is 216744.

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

46977961536 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 7 + 9 + 615 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12826921536 + 34151040000 = 113256^2 + 184800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46977961531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57220006 + ... + 57220826.

Almost surely, 2^46977961536 is an apocalyptic number.

46977961536 is the 216744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46977961536

46977961536 is an abundant number, since it is smaller than the sum of its proper divisors (101210480593).

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

46977961536 is an equidigital number, since it uses as much as digits as its factorization.

46977961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 837 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 46977961536 in words is "forty-six billion, nine hundred seventy-seven million, nine hundred sixty-one thousand, five hundred thirty-six".