49151260553616 has 225 divisors, whose sum is σ = 149060919793461. Its totient is φ = 15119090049024.

The previous prime is 49151260553609. The next prime is 49151260553623. The reversal of 49151260553616 is 61635506215194.

The square root of 49151260553616 is 7010796.

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

49151260553616 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 1 + 26 + 0 + 553 + 61 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (49151260553609) and next prime (49151260553623).

It can be written as a sum of positive squares in 7 ways, for example, as 30632904090000 + 18518356463616 = 5534700^2 + 4303296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14217892560 + ... + 14217896016.

Almost surely, 2^{49151260553616} is an apocalyptic number.

49151260553616 is the 7010796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49151260553616

49151260553616 is an abundant number, since it is smaller than the sum of its proper divisors (99909659239845).

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

49151260553616 is an frugal number, since it uses more digits than its factorization.

49151260553616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 49151260553616 in words is "forty-nine trillion, one hundred fifty-one billion, two hundred sixty million, five hundred fifty-three thousand, six hundred sixteen".