54414670156900 has 27 divisors (see below), whose sum is σ = 118079994313561. Its totient is φ = 21765838556240.

The previous prime is 54414670156799. The next prime is 54414670156901. The reversal of 54414670156900 is 965107641445.

It is a happy number.

The square root of 54414670156900 is 7376630.

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., 19589281256484 + 34825388900416 = 4425978^2 + 5901304^2 .

It is a super-2 number, since 2×54414670156900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54414670156901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73397469 + ... + 74135131.

Almost surely, 2^{54414670156900} is an apocalyptic number.

54414670156900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54414670156900 is the 7376630-th square number.

It is an amenable number.

54414670156900 is an abundant number, since it is smaller than the sum of its proper divisors (63665324156661).

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

54414670156900 is an frugal number, since it uses more digits than its factorization.

54414670156900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475340 (or 737670 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 54414670156900 in words is "fifty-four trillion, four hundred fourteen billion, six hundred seventy million, one hundred fifty-six thousand, nine hundred".