45429370776000 has 896 divisors, whose sum is σ = 176735466086400. Its totient is φ = 11385361612800.

The previous prime is 45429370775947. The next prime is 45429370776019. The reversal of 45429370776000 is 67707392454.

45429370776000 is a `hidden beast` number, since 4 + 5 + 4 + 29 + 3 + 7 + 0 + 7 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2640159397 + ... + 2640176603.

Almost surely, 2^{45429370776000} is an apocalyptic number.

45429370776000 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 45429370776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88367733043200).

45429370776000 is an abundant number, since it is smaller than the sum of its proper divisors (131306095310400).

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

45429370776000 is a wasteful number, since it uses less digits than its factorization.

45429370776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17979 (or 17953 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 45429370776000 in words is "forty-five trillion, four hundred twenty-nine billion, three hundred seventy million, seven hundred seventy-six thousand".