54846021756100 has 27 divisors (see below), whose sum is σ = 119016027917031. Its totient is φ = 21938379079200.

The previous prime is 54846021756089. The next prime is 54846021756121. The reversal of 54846021756100 is 165712064845.

The square root of 54846021756100 is 7405810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24288476015556 + 30557545740544 = 4928334^2 + 5527888^2 .

It is a super-2 number, since 2×54846021756100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73687810 + ... + 74428390.

Almost surely, 2^{54846021756100} is an apocalyptic number.

54846021756100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54846021756100 is the 7405810-th square number.

It is an amenable number.

54846021756100 is an abundant number, since it is smaller than the sum of its proper divisors (64170006160931).

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

54846021756100 is an frugal number, since it uses more digits than its factorization.

54846021756100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481176 (or 740588 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 54846021756100 in words is "fifty-four trillion, eight hundred forty-six billion, twenty-one million, seven hundred fifty-six thousand, one hundred".