481961947742352 has 1200 divisors, whose sum is σ = 1833632988199936. Its totient is φ = 119486538547200.

The previous prime is 481961947742339. The next prime is 481961947742357. The reversal of 481961947742352 is 253247749169184.

481961947742352 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 6 + 194 + 7 + 7 + 423 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (481961947742357) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2484025248 + ... + 2484219264.

Almost surely, 2^{481961947742352} is an apocalyptic number.

481961947742352 is a gapful number since it is divisible by the number (42) 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 481961947742352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916816494099968).

481961947742352 is an abundant number, since it is smaller than the sum of its proper divisors (1351671040457584).

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

481961947742352 is a wasteful number, since it uses less digits than its factorization.

481961947742352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194170 (or 194144 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 481961947742352 in words is "four hundred eighty-one trillion, nine hundred sixty-one billion, nine hundred forty-seven million, seven hundred forty-two thousand, three hundred fifty-two".