60453672838416 has 1215 divisors, whose sum is σ = 211580411995407. Its totient is φ = 16092789672960.

The previous prime is 60453672838381. The next prime is 60453672838417. The reversal of 60453672838416 is 61483827635406.

It is a happy number.

The square root of 60453672838416 is 7775196.

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

60453672838416 is a `hidden beast` number, since 6 + 0 + 4 + 536 + 7 + 2 + 8 + 3 + 84 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3763615520016 + 56690057318400 = 1940004^2 + 7529280^2 .

It is not an unprimeable number, because it can be changed into a prime (60453672838417) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 306871435630 + ... + 306871435826.

Almost surely, 2^{60453672838416} is an apocalyptic number.

60453672838416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

60453672838416 is the 7775196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60453672838416

60453672838416 is an abundant number, since it is smaller than the sum of its proper divisors (151126739156991).

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

60453672838416 is a wasteful number, since it uses less digits than its factorization.

60453672838416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 60453672838416 in words is "sixty trillion, four hundred fifty-three billion, six hundred seventy-two million, eight hundred thirty-eight thousand, four hundred sixteen".