47045154274560 has 1728 divisors, whose sum is σ = 189801933834240. Its totient is φ = 11078239518720.

The previous prime is 47045154274541. The next prime is 47045154274621. The reversal of 47045154274560 is 6547245154074.

47045154274560 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 5 + 1 + 5 + 4 + 2 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47045154274497 and 47045154274506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11156069572 + ... + 11156073788.

It is an arithmetic number, because the mean of its divisors is an integer number (109839082080).

Almost surely, 2^{47045154274560} is an apocalyptic number.

47045154274560 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 47045154274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94900966917120).

47045154274560 is an abundant number, since it is smaller than the sum of its proper divisors (142756779559680).

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

47045154274560 is a wasteful number, since it uses less digits than its factorization.

47045154274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 47045154274560 in words is "forty-seven trillion, forty-five billion, one hundred fifty-four million, two hundred seventy-four thousand, five hundred sixty".