54482940137536 has 189 divisors, whose sum is σ = 112521185968989. Its totient is φ = 26174288076288.

The previous prime is 54482940137513. The next prime is 54482940137539. The reversal of 54482940137536 is 63573104928445.

The square root of 54482940137536 is 7381256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51548379278400 + 2934560859136 = 7179720^2 + 1713056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54482940137539) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185948601006 + ... + 185948601298.

It is a 1-persistent number, because it is pandigital, but 2⋅54482940137536 = 108965880275072 is not.

Almost surely, 2^{54482940137536} is an apocalyptic number.

54482940137536 is the 7381256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54482940137536

54482940137536 is an abundant number, since it is smaller than the sum of its proper divisors (58038245831453).

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

54482940137536 is an frugal number, since it uses more digits than its factorization.

54482940137536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 54482940137536 in words is "fifty-four trillion, four hundred eighty-two billion, nine hundred forty million, one hundred thirty-seven thousand, five hundred thirty-six".