47454862694400 has 3240 divisors, whose sum is σ = 212136256512180. Its totient is φ = 10496928153600.

The previous prime is 47454862694377. The next prime is 47454862694461. The reversal of 47454862694400 is 449626845474.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

47454862694400 is a `hidden beast` number, since 4 + 7 + 4 + 5 + 486 + 26 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1530802022385 + ... + 1530802022415.

Almost surely, 2^{47454862694400} is an apocalyptic number.

47454862694400 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 47454862694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106068128256090).

47454862694400 is an abundant number, since it is smaller than the sum of its proper divisors (164681393817780).

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

47454862694400 is an frugal number, since it uses more digits than its factorization.

47454862694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 47454862694400 in words is "forty-seven trillion, four hundred fifty-four billion, eight hundred sixty-two million, six hundred ninety-four thousand, four hundred".