5460414139656 has 256 divisors, whose sum is σ = 17993705472000. Its totient is φ = 1501891580160.

The previous prime is 5460414139651. The next prime is 5460414139673. The reversal of 5460414139656 is 6569314140645.

5460414139656 is a `hidden beast` number, since 5 + 4 + 60 + 4 + 141 + 396 + 56 = 666.

It is a super-2 number, since 2×5460414139656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5460414139651) 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, 3705085 + ... + 4964723.

It is an arithmetic number, because the mean of its divisors is an integer number (70287912000).

Almost surely, 2^{5460414139656} is an apocalyptic number.

5460414139656 is a gapful number since it is divisible by the number (56) 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 5460414139656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996852736000).

5460414139656 is an abundant number, since it is smaller than the sum of its proper divisors (12533291332344).

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

5460414139656 is a wasteful number, since it uses less digits than its factorization.

5460414139656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259769 (or 1259759 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5460414139656 in words is "five trillion, four hundred sixty billion, four hundred fourteen million, one hundred thirty-nine thousand, six hundred fifty-six".