5145701904 has 560 divisors, whose sum is σ = 18735943680. Its totient is φ = 1335294720.

The previous prime is 5145701867. The next prime is 5145701917. The reversal of 5145701904 is 4091075415.

5145701904 is a `hidden beast` number, since 514 + 57 + 0 + 1 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48090619 + ... + 48090725.

Almost surely, 2^5145701904 is an apocalyptic number.

5145701904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145701904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367971840).

5145701904 is an abundant number, since it is smaller than the sum of its proper divisors (13590241776).

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

5145701904 is a wasteful number, since it uses less digits than its factorization.

5145701904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5145701904 is about 71733.5479674608. The cubic root of 5145701904 is about 1726.4269538638.

The spelling of 5145701904 in words is "five billion, one hundred forty-five million, seven hundred one thousand, nine hundred four".