54367444476345 has 384 divisors, whose sum is σ = 121562800128000. Its totient is φ = 20169023846400.

The previous prime is 54367444476343. The next prime is 54367444476347.

54367444476345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54367444476343) and next prime (54367444476347).

It is not a de Polignac number, because 54367444476345 - 2¹ = 54367444476343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54367444476343) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9456849531 + ... + 9456855279.

It is an arithmetic number, because the mean of its divisors is an integer number (316569792000).

Almost surely, 2^{54367444476345} is an apocalyptic number.

54367444476345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54367444476345 is an abundant number, since it is smaller than the sum of its proper divisors (67195355651655).

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

54367444476345 is a wasteful number, since it uses less digits than its factorization.

54367444476345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7666 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 66.

The spelling of 54367444476345 in words is "fifty-four trillion, three hundred sixty-seven billion, four hundred forty-four million, four hundred seventy-six thousand, three hundred forty-five".