49145301504 has 640 divisors, whose sum is σ = 169801632000. Its totient is φ = 13902741504.

The previous prime is 49145301487. The next prime is 49145301551. The reversal of 49145301504 is 40510354194.

It is a happy number.

49145301504 is a `hidden beast` number, since 4 + 9 + 145 + 3 + 0 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126337342 + ... + 126337730.

It is an arithmetic number, because the mean of its divisors is an integer number (265315050).

Almost surely, 2^49145301504 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 49145301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816000).

49145301504 is an abundant number, since it is smaller than the sum of its proper divisors (120656330496).

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

49145301504 is a wasteful number, since it uses less digits than its factorization.

49145301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 49145301504 its reverse (40510354194), we get a palindrome (89655655698).

The spelling of 49145301504 in words is "forty-nine billion, one hundred forty-five million, three hundred one thousand, five hundred four".