49672386962496 has 441 divisors, whose sum is σ = 150332722353639. Its totient is φ = 16276844567808.

The previous prime is 49672386962479. The next prime is 49672386962519. The reversal of 49672386962496 is 69426968327694.

The square root of 49672386962496 is 7047864.

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

49672386962496 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 2 + 3 + 8 + 69 + 62 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 101996687565 + ... + 101996688051.

It is an arithmetic number, because the mean of its divisors is an integer number (340890526879).

Almost surely, 2^{49672386962496} is an apocalyptic number.

49672386962496 is the 7047864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49672386962496

49672386962496 is an abundant number, since it is smaller than the sum of its proper divisors (100660335391143).

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

49672386962496 is an frugal number, since it uses more digits than its factorization.

49672386962496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 559 counting only the distinct ones).

The product of its digits is 10158317568, while the sum is 81.

49672386962496 divided by its sum of digits (81) gives a square (613239345216 = 783096²).

The spelling of 49672386962496 in words is "forty-nine trillion, six hundred seventy-two billion, three hundred eighty-six million, nine hundred sixty-two thousand, four hundred ninety-six".