4954151664 has 720 divisors, whose sum is σ = 19053066240. Its totient is φ = 1185408000.

The previous prime is 4954151659. The next prime is 4954151687. The reversal of 4954151664 is 4661514594.

4954151664 is a `hidden beast` number, since 4 + 95 + 41 + 516 + 6 + 4 = 666.

It is a congruent number.

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, 69776749 + ... + 69776819.

It is an arithmetic number, because the mean of its divisors is an integer number (26462592).

Almost surely, 2^4954151664 is an apocalyptic number.

4954151664 is a gapful number since it is divisible by the number (44) 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 4954151664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526533120).

4954151664 is an abundant number, since it is smaller than the sum of its proper divisors (14098914576).

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

4954151664 is a wasteful number, since it uses less digits than its factorization.

4954151664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4954151664 is about 70385.7348047174. The cubic root of 4954151664 is about 1704.7332525021.

The spelling of 4954151664 in words is "four billion, nine hundred fifty-four million, one hundred fifty-one thousand, six hundred sixty-four".