45479180160 has 384 divisors, whose sum is σ = 163701064800. Its totient is φ = 12065366016.

The previous prime is 45479180053. The next prime is 45479180183. The reversal of 45479180160 is 6108197454.

45479180160 is a `hidden beast` number, since 4 + 5 + 479 + 18 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35613442 + ... + 35614718.

Almost surely, 2^45479180160 is an apocalyptic number.

45479180160 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 45479180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81850532400).

45479180160 is an abundant number, since it is smaller than the sum of its proper divisors (118221884640).

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

45479180160 is a wasteful number, since it uses less digits than its factorization.

45479180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 45479180160 in words is "forty-five billion, four hundred seventy-nine million, one hundred eighty thousand, one hundred sixty".