4905657976384 has 63 divisors (see below), whose sum is σ = 10700511520321. Its totient is φ = 2229755939840.

The previous prime is 4905657976379. The next prime is 4905657976409. The reversal of 4905657976384 is 4836797565094.

It is a happy number.

The square root of 4905657976384 is 2214872.

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., 1184771294784 + 3720886681600 = 1088472^2 + 1928960^2 .

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, 194896152 + ... + 194921320.

Almost surely, 2^{4905657976384} is an apocalyptic number.

4905657976384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4905657976384 is the 2214872-nd square number.

It is an amenable number.

4905657976384 is an abundant number, since it is smaller than the sum of its proper divisors (5794853543937).

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

4905657976384 is an frugal number, since it uses more digits than its factorization.

4905657976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50372 (or 25182 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 73.

The spelling of 4905657976384 in words is "four trillion, nine hundred five billion, six hundred fifty-seven million, nine hundred seventy-six thousand, three hundred eighty-four".