486076945536 has 1152 divisors, whose sum is σ = 1834494480000. Its totient is φ = 123282432000.

The previous prime is 486076945513. The next prime is 486076945547. The reversal of 486076945536 is 635549670684.

486076945536 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 7 + 6 + 94 + 5 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1936561411 + ... + 1936561661.

It is an arithmetic number, because the mean of its divisors is an integer number (1592443125).

Almost surely, 2^486076945536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486076945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917247240000).

486076945536 is an abundant number, since it is smaller than the sum of its proper divisors (1348417534464).

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

486076945536 is a wasteful number, since it uses less digits than its factorization.

486076945536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 486076945536 in words is "four hundred eighty-six billion, seventy-six million, nine hundred forty-five thousand, five hundred thirty-six".