54474456464076 has 192 divisors, whose sum is σ = 151625198592000. Its totient is φ = 15036155930880.

The previous prime is 54474456464063. The next prime is 54474456464173. The reversal of 54474456464076 is 67046465447445.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 54474456463998 and 54474456464016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15816055 + ... + 18949841.

It is an arithmetic number, because the mean of its divisors is an integer number (789714576000).

Almost surely, 2^{54474456464076} 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 54474456464076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75812599296000).

54474456464076 is an abundant number, since it is smaller than the sum of its proper divisors (97150742127924).

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

54474456464076 is a wasteful number, since it uses less digits than its factorization.

54474456464076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134092 (or 3134090 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 66.

The spelling of 54474456464076 in words is "fifty-four trillion, four hundred seventy-four billion, four hundred fifty-six million, four hundred sixty-four thousand, seventy-six".