61854753954456 has 256 divisors, whose sum is σ = 182405283840000. Its totient is φ = 19366591418496.

The previous prime is 61854753954451. The next prime is 61854753954467. The reversal of 61854753954456 is 65445935745816.

61854753954456 is a `hidden beast` number, since 6 + 1 + 8 + 5 + 4 + 75 + 3 + 9 + 544 + 5 + 6 = 666.

It is a super-3 number, since 3×61854753954456³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61854753954451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812525211 + ... + 812601333.

It is an arithmetic number, because the mean of its divisors is an integer number (712520640000).

Almost surely, 2^{61854753954456} 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 61854753954456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91202641920000).

61854753954456 is an abundant number, since it is smaller than the sum of its proper divisors (120550529885544).

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

61854753954456 is a wasteful number, since it uses less digits than its factorization.

61854753954456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77843 (or 77833 counting only the distinct ones).

The product of its digits is 2177280000, while the sum is 72.

The spelling of 61854753954456 in words is "sixty-one trillion, eight hundred fifty-four billion, seven hundred fifty-three million, nine hundred fifty-four thousand, four hundred fifty-six".