47954546688 has 208 divisors, whose sum is σ = 133689701376. Its totient is φ = 15273000960.

The previous prime is 47954546687. The next prime is 47954546767. The reversal of 47954546688 is 88664545974.

Its product of digits (232243200) is a multiple of the sum of its prime factors (2048).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47954546681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24833083 + ... + 24835013.

Almost surely, 2^47954546688 is an apocalyptic number.

47954546688 is a gapful number since it is divisible by the number (48) 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 47954546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66844850688).

47954546688 is an abundant number, since it is smaller than the sum of its proper divisors (85735154688).

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

47954546688 is a wasteful number, since it uses less digits than its factorization.

47954546688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2026 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 66.

The spelling of 47954546688 in words is "forty-seven billion, nine hundred fifty-four million, five hundred forty-six thousand, six hundred eighty-eight".