61459851590496 has 192 divisors, whose sum is σ = 179994518323200. Its totient is φ = 20402452800000.

The previous prime is 61459851590461. The next prime is 61459851590503. The reversal of 61459851590496 is 69409515895416.

61459851590496 is a `hidden beast` number, since 6 + 1 + 4 + 5 + 9 + 85 + 1 + 59 + 0 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667632545 + ... + 2667655583.

It is an arithmetic number, because the mean of its divisors is an integer number (937471449600).

Almost surely, 2^{61459851590496} 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 61459851590496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89997259161600).

61459851590496 is an abundant number, since it is smaller than the sum of its proper divisors (118534666732704).

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

61459851590496 is a wasteful number, since it uses less digits than its factorization.

61459851590496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35610 (or 35596 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 61459851590496 in words is "sixty-one trillion, four hundred fifty-nine billion, eight hundred fifty-one million, five hundred ninety thousand, four hundred ninety-six".