45378078178752 has 168 divisors, whose sum is σ = 147147713661312. Its totient is φ = 13750932729600.

The previous prime is 45378078178747. The next prime is 45378078178759. The reversal of 45378078178752 is 25787187087354.

45378078178752 is a `hidden beast` number, since 4 + 537 + 8 + 0 + 7 + 8 + 1 + 7 + 87 + 5 + 2 = 666.

It is a super-3 number, since 3×45378078178752³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45378078178759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132457524 + ... + 132799667.

It is an arithmetic number, because the mean of its divisors is an integer number (875879247984).

Almost surely, 2^{45378078178752} is an apocalyptic number.

It is an amenable number.

45378078178752 is an abundant number, since it is smaller than the sum of its proper divisors (101769635482560).

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

45378078178752 is a wasteful number, since it uses less digits than its factorization.

45378078178752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265257229 (or 265257207 counting only the distinct ones).

The product of its (nonzero) digits is 737587200, while the sum is 72.

The spelling of 45378078178752 in words is "forty-five trillion, three hundred seventy-eight billion, seventy-eight million, one hundred seventy-eight thousand, seven hundred fifty-two".