61283850988464 has 560 divisors, whose sum is σ = 202303401128640. Its totient is φ = 17833968599040.

The previous prime is 61283850988457. The next prime is 61283850988489. The reversal of 61283850988464 is 46488905838216.

61283850988464 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 3 + 85 + 0 + 9 + 88 + 464 = 666.

It is a super-2 number, since 2×61283850988464² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61283850988392 and 61283850988401.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 310291984 + ... + 310489424.

It is an arithmetic number, because the mean of its divisors is an integer number (361256073444).

Almost surely, 2^{61283850988464} 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 61283850988464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101151700564320).

61283850988464 is an abundant number, since it is smaller than the sum of its proper divisors (141019550140176).

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

61283850988464 is a wasteful number, since it uses less digits than its factorization.

61283850988464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197592 (or 197571 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 61283850988464 in words is "sixty-one trillion, two hundred eighty-three billion, eight hundred fifty million, nine hundred eighty-eight thousand, four hundred sixty-four".