49752214650 has 288 divisors, whose sum is σ = 145226704896. Its totient is φ = 12182400000.

The previous prime is 49752214649. The next prime is 49752214679. The reversal of 49752214650 is 5641225794.

49752214650 is a `hidden beast` number, since 497 + 52 + 21 + 46 + 50 = 666.

It is a super-3 number, since 3×49752214650³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 49752214596 and 49752214605.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21160975 + ... + 21163325.

It is an arithmetic number, because the mean of its divisors is an integer number (504259392).

Almost surely, 2^49752214650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49752214650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72613352448).

49752214650 is an abundant number, since it is smaller than the sum of its proper divisors (95474490246).

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

49752214650 is a wasteful number, since it uses less digits than its factorization.

49752214650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 49752214650 in words is "forty-nine billion, seven hundred fifty-two million, two hundred fourteen thousand, six hundred fifty".