49893683415552 has 420 divisors, whose sum is σ = 158776178546766. Its totient is φ = 15652886446080.

The previous prime is 49893683415551. The next prime is 49893683415553. The reversal of 49893683415552 is 25551438639894.

49893683415552 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 3 + 68 + 3 + 4 + 1 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (49893683415551) and next prime (49893683415553).

It can be written as a sum of positive squares in 3 ways, for example, as 46041978859776 + 3851704555776 = 6785424^2 + 1962576^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (49893683415551) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 107637402 + ... + 108099942.

Almost surely, 2^{49893683415552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49893683415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79388089273383).

49893683415552 is an abundant number, since it is smaller than the sum of its proper divisors (108882495131214).

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

49893683415552 is an frugal number, since it uses more digits than its factorization.

49893683415552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462611 (or 462563 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 49893683415552 in words is "forty-nine trillion, eight hundred ninety-three billion, six hundred eighty-three million, four hundred fifteen thousand, five hundred fifty-two".