47654230041600 has 1056 divisors, whose sum is σ = 196740953773056. Its totient is φ = 9904354099200.

The previous prime is 47654230041491. The next prime is 47654230041623. The reversal of 47654230041600 is 614003245674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468198715 + ... + 468300485.

It is an arithmetic number, because the mean of its divisors is an integer number (186307721376).

Almost surely, 2^{47654230041600} is an apocalyptic number.

47654230041600 is a gapful number since it is divisible by the number (40) 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 47654230041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98370476886528).

47654230041600 is an abundant number, since it is smaller than the sum of its proper divisors (149086723731456).

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

47654230041600 is a wasteful number, since it uses less digits than its factorization.

47654230041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101891 (or 101868 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 47654230041600 in words is "forty-seven trillion, six hundred fifty-four billion, two hundred thirty million, forty-one thousand, six hundred".